3382816 has 24 divisors (see below), whose sum is σ = 6773004. Its totient is φ = 1662720.

The previous prime is 3382807. The next prime is 3382849. The reversal of 3382816 is 6182833.

It can be written as a sum of positive squares in 2 ways, for example, as 3027600 + 355216 = 1740^2 + 596^2 .

It is a super-2 number, since 2×3382816² = 22886888179712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1086 + ... + 2818.

Almost surely, 2^3382816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386502).

3382816 is an abundant number, since it is smaller than the sum of its proper divisors (3390188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3382816 is a wasteful number, since it uses less digits than its factorization.

3382816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1796 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 3382816 is about 1839.2433226738. The cubic root of 3382816 is about 150.1157033213.

The spelling of 3382816 in words is "three million, three hundred eighty-two thousand, eight hundred sixteen".